Wish to find the inverse , row transformation,, determinant of both matrix, if possible i want to call just one and matrix and a time and perform these operations, is that possible?

#include<iostream>
using namespace std;
class matrix
{
 int dim1,dim2;
 int **mat;
 public:
 matrix(int x=2,int y=2)
 {
  dim1=x;
  dim2=y;
  mat=new int*[dim1];
  for(int i=0;i<dim1;i++)
   mat[i]=new int[dim2];
  for(int i=0;i<dim1;i++)
   for(int j=0;j<dim2;j++)
    mat[i][j]=0;
 }
 int returndim1()
 {
  return dim1;
 }
 int returndim2()
 { 
  return dim2;
 }
 void input()
 {
  cout<<"Enter the elements of matrix - ";
  for(int i=0;i<dim1;i++)
   for(int j=0;j<dim2;j++)
    cin>>mat[i][j];
 }
 void out()
 {
  for(int i=0;i<dim1;i++)
   {
    cout<<"\n";
    for(int j=0;j<dim2;j++)
 cout<<mat[i][j]<<" ";
   }
 } 
 matrix operator+(matrix x)
 {
  matrix c(dim1,dim2);
  if(dim1==x.returndim1() && dim2==x.returndim2())
   {    
    for(int i=0;i<dim1;i++)
      for(int j=0;j<dim2;j++)
    c.mat[i][j]=this->mat[i][j]+x.mat[i][j];
 return c;
   }
  else
  {
   cout<<"Matrix cant be added";  
   return c;  
  }
 }
 matrix operator-(matrix x)
 {
  matrix c(dim1,dim2);
  if(dim1==x.returndim1() && dim2==x.returndim2())
   { 
    for(int i=0;i<dim1;i++)
      for(int j=0;j<dim2;j++)
    c.mat[i][j]=this->mat[i][j]-x.mat[i][j];
 return c;
   }
  else
  {
   cout<<"Matrix cant be subtracted";  
   return c;  
  }
 }
 matrix operator*(matrix x)
 {
  matrix c(dim1,x.returndim2());
  if(dim2==x.returndim1())
   { 
    for(int i=0;i<dim1;i++)
      for(int j=0;j<x.returndim2();j++)
      for(int k=0;k<dim2;k++)
        c.mat[i][j]+=this->mat[i][k]*x.mat[k][j];
 return c;
   }
  else
  {
   cout<<"Matrix cant be multiplied";  
   return c;  
  }
 }
};
int main()
{
 int x,y;
 char ch;
 do{
      cout<<"\n WELCOME TO MATRIX COMPUTATION"<<endl;
      cout<<"\n THE ASSIGNMENT WAS DONE BY:"<<endl;
      cout<<"\n                               "<<endl;
      cout<<"\n                               "<<endl;
      cout<<"\n                              "<<endl;
      cout<<"\n THE ASSIGNMENT IS DONE  FOR:;<endl;
      cout<<"\n*********************************************************"<<endl;
      cout<<"\n^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^"<<endl;
      cout<<"\n*********************************************************"<<endl;      
            
      cout<<"\nTHIS ASSIGNMENT IS TO COVER THE FOLLOWING: "<<endl;
      cout<<"\n                         > Find and displaying Determinant"<<endl;
      cout<<"\n                         > Find and displaying the Inverse"<<endl;
      cout<<"\n                           matrix"<<endl;
      cout<<"\n                         > Carrying out row transformation"<<endl;
      cout<<"\n                         > Addition & Subtraction"<<endl;
      cout<<"\n                         > Multiplicationn & division"<<endl;
      cout<<"\n"<<endl;
 cout<<"\nEnter elements, select the value then space-bar then input next"<<endl;
 cout<<"Enter the dimension of matrix 1 (rows x cols) - : "<<endl;
 cout<<"\n"<<endl;  
 cin>>x>>y;
 matrix a(x,y);
 a.input();
 cout<<"\nEnter elements, select the value then space-bar then input next"<<endl;
 cout<<"\nEnter the dimension of matrix 2 (rows x cols) - : "<<endl;
 cout<<"\n"<<endl; 
 cin>>x>>y;
 matrix b(x,y);
 b.input();
 cout<<"\n1.Add matrices\n2.Subtract matrices\n3.Multiplymatrices\n";
 cout<<"Select any one above , then hit ENTER"<<endl;
 cin>>x;
 if(x==1)
  (a+b).out();
 else if(x==2)
  (a-b).out();
 else if(x==3)
  (a*b).out();
 else
  cout<<"Wrong choice";
 cout<<"\nContinue(y/n)";
 cin>>ch;
 }while(ch=='y'||ch=='Y');
 cin.get();
 return 0;
}